# Chapter 3: Equations

## 26 terms

### equation

a mathematical sentence that contains an equal sign

### solution

a value that makes the equation true

### isolate the variable

a variable is isolated when it appears on one side of an equation by itself

### inverse operations

operations that undo each other

add the same number to both sides of the equal sign

### subtraction property of equality

subtract the same number from both sides of the equal sign

### linear equation

when graphed it is a straight line; the exponent is a 1

### division property of equality

divide the same number from both sides of the equal sign

### multiplication property of equality

multiply the same number from both sides of the equal sign

### one-step equation

equation where only one property is used

### two-step equation

solving an equation that involves two steps

### multi-step equation

may involve distribution and combine like terms in addition to the steps take in a one-step or two-step

### equation with variables on both sides

equation with variables on both sides; still need to isolate variable on left or right hand side

### type of solutions for equations

one solution; many; none

### ratio

a comparison of two numbers by division

### rate

a ratio measured in different units

### unit rate

a rate with a denominator of one

### proportion

equation comparing two ratios

### means of the proportion

the middles (b and c)

### extremes

the a and d of the proportion

### cross products of a proportion

can use to prove a proportion true; can be used to find a missing value of a proportion

### consecutive integers

integers that come in counting order

### uniform motion

problems in which an object moves at a constant speed or rate

### percent

ratio; out of 100

### percent of change

ratio; expresses amount of change over original amount

### square root

a number that when multiplied by itself equals a given number